gapped_localized_core.py

IDWT's physical premise is one infinite-dimensional manifold with all sectors nested as submanifolds. Particle depth counts macroscopic spatial dimensions; matrix and field-component counts in a calculation add no physical dimensions.

Calculation record

Spatial zero field with one declared common gap in the inverse core law.

The gap is an inverse-model coefficient, not a forward-derived master term.
The profile's amplitude solves spatial binding and never defines its mass.

Research context

Localized oscillation and its inertial response
A reconstructed local current action has localized simplex-frequency solutions with common spatial profiles and an exact canonical boost inertia; its carrier, common normalization and full stability remain physical conditions to establish.

Interpret numerical checks within the assumptions and limitations documented in these notes.